Collapse Vortices and Filaments of Vorticity

Abstract eng:
The system of a finite number of point vortices that are in self-similar motion, under suitable conditions that are related to the initial positions and circulations of the vortices, can collapse to the point with finite time. The initial positions that lead to the collapse can be found numerically. An explicit solution for collapsing trajectory is derived. The numerical evidence is presented that collapsing vortices may organized itself in vortex sheets. In the distribution of vortices one can clearly notices some regular structures. Examples of the collapsing configurations of vortices is presented.

• Export as: BibTeX | MARC | MARCXML | DC | EndNote | NLM | RefWorks
• Add to your basket